9612954624 has 352 divisors, whose sum is σ = 31891539456. Its totient is φ = 2506752000.

The previous prime is 9612954599. The next prime is 9612954647. The reversal of 9612954624 is 4264592169.

It is a super-3 number, since 3×9612954624³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38298499 + ... + 38298749.

Almost surely, 2^9612954624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9612954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945769728).

9612954624 is an abundant number, since it is smaller than the sum of its proper divisors (22278584832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9612954624 is a wasteful number, since it uses less digits than its factorization.

9612954624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 9612954624 is about 98045.6762126714. The cubic root of 9612954624 is about 2126.2727046540.

The spelling of 9612954624 in words is "nine billion, six hundred twelve million, nine hundred fifty-four thousand, six hundred twenty-four".